OCR FP1 2012 June — Question 5

Exam BoardOCR
ModuleFP1 (Further Pure Mathematics 1)
Year2012
SessionJune
TopicProof by induction

5 Prove by induction that, for \(n \geqslant 1 , \sum _ { r = 1 } ^ { n } 4 \times 3 ^ { r } = 6 \left( 3 ^ { n } - 1 \right)\).